added initial batch of questions

package.json

@@ -29,6 +29,7 @@
         "katex": "^0.16.9",
         "lucide-static": "^0.468.0",
         "marked": "^15.0.6",
+        "marked-extended-latex": "^1.1.0",
         "preact": "^10.19.6",
         "typescript": "^5.3.3"
     },
@@ -39,6 +40,8 @@
         "jsdom": "^24.1.1",
         "linkedom": "^0.18.4",
         "npm-run-all": "^4.1.5",
+        "prettier": "^3.5.0",
+        "prettier-plugin-astro": "^0.14.1",
         "rehype-autolink-headings": "^7.1.0",
         "rehype-slug": "^6.0.0",
         "remark-math": "^6.0.0",